A car travels along a straight road towards the north. Take the positive direction to be towards the north. The car has an initial velocity of 25m/s and comes to rest in 10s with uniform acceleration.
a. (i) Write the algebraic signs (positive or negative) of the initial velocity u, final velocity v and acceleration a for this motion.
b. (ii) Calculate the value of the acceleration a.
c. (iii) Determine the displacement of the car before it comes to rest, clearly showing how the sign of a is handled in the calculation.
d. (iv) Is the car said to be under positive acceleration or negative acceleration? Justify your answer briefly.